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Oct 15, 2021 at 1:01 history bumped CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
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May 6, 2020 at 19:54 comment added Cinaed Simson You should remove the "general relativity" tag and add the "special relativity" tag.
May 6, 2020 at 19:48 comment added Cinaed Simson This post is actually $3$ questions. Since this an EM problem, the space is Minkowski, i.e., the line element in Cartesian is $ds^2 = -dt^2 + dx^2 + dy^2 + dz^2.$ To convert the spatial part of the Minkowsk line element $dx^2 + dy^2 + dz^2$ to spherical coordinates use the spherical coordinate transformation. Regarding the tensor, $B=0$ so you're only left with the projections of the $E(r)$ field on $(x,y,z).$ Either transform the tensor, or transform $E(r)$ to Cartesian coordinates. You can calculate $F_{\mu \nu}$ by either using the metric or the vector potentials in spherical coordinates.
May 6, 2020 at 15:13 answer added user87745 timeline score: 1
May 6, 2020 at 5:30 answer added peek-a-boo timeline score: 2
May 6, 2020 at 1:11 review Close votes
May 8, 2020 at 12:37
May 5, 2020 at 23:29 comment added Nick M My apologies. I've updated the question.
May 5, 2020 at 23:27 history edited Nick M CC BY-SA 4.0
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May 5, 2020 at 22:55 review First posts
May 6, 2020 at 0:21
May 5, 2020 at 22:55 comment added knzhou Why do you expect that you would be able to recover the EM field tensor from the metric alone?
May 5, 2020 at 22:53 history asked Nick M CC BY-SA 4.0